Prove $\frac { \sin 4 x + \sin 2 x } { \cos 4 x + \cos 2 x } = \tan 3 x$

question 49

Essay

Prove $\frac { \sin 4 x + \sin 2 x } { \cos 4 x + \cos 2 x } = \tan 3 x$ .

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Definitions:

Glycerol

A colorless, odorless, sweet-tasting liquid that serves as a backbone for triglycerides and is an important intermediate in carbohydrate and lipid metabolism.

Glycogenesis

The process of converting glucose into glycogen for storage in the liver and muscle cells.

Glycogen

Glycogen is a multi-branched polysaccharide of glucose that serves as a form of energy storage in animals and fungi, predominantly stored in the liver and muscle tissues.

Glucose

A fundamental glucose that is vital for providing energy in living organisms and contributes to the makeup of a variety of carbohydrates.